VARIATIONAL METHODS FOR THE OPTIMIZATION OF MOTION OF AIRCRAFT AND OTHER OBJECTS ARE CONSIDERED. THE ELEMENTS OF VARIATIONAL METHOD THEORY ARE DISCUSSED FIRST. A NUMBER OF SPECIFIC METHODS AND THE SYNTHESIS OF OPTIMAL CONTROL ARE PRESENTED. THE STRUCTURE AND ANALYSIS OF DEGENERATE AND SLIDING CONTROLS ARE ALSO TREATED. SOLUTIONS TO A NUMBER OF PROBLEMS OF POWERED FLIGHT DYNAMICS ARE PRESENTED, INCLUDING VERTICAL ROCKET ASCENT IN A VACUUM, ROCKET DYNAMICS IN A HOMOGENEOUS FIELD IN A VACUUM, AND POWERED AIRCRAFT FLIGHT. A DETAILED CONSTRUCTION IS GIVEN OF AN APPROXIMATE SYNTHESIS OF OPTIMAL AIRCRAFT CONTROL ON THE ASCENT SECTION.

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